{"id":90086,"date":"2022-03-31T11:53:33","date_gmt":"2022-03-31T06:23:33","guid":{"rendered":"https:\/\/bigideasmathanswers.com\/?p=90086"},"modified":"2022-04-07T14:38:28","modified_gmt":"2022-04-07T09:08:28","slug":"envision-math-common-core-grade-4-answer-key-topic-4","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/envision-math-common-core-grade-4-answer-key-topic-4\/","title":{"rendered":"enVision Math Common Core Grade 4 Answer Key Topic 4 Use Strategies and Properties to Multiply by 2-Digit Numbers"},"content":{"rendered":"

Practice with the help of enVision Math Common Core Grade 4 Answer Key<\/a> Topic 4 Use Strategies and Properties to Multiply by 2-Digit Numbers<\/strong> regularly and improve your accuracy in solving questions.<\/p>\n

enVision Math Common Core 4th Grade Answers Key Topic 4 Use Strategies and Properties to Multiply by 2-Digit Numbers<\/h2>\n

Essential Questions:<\/strong>
\nHow can you use a model to multiply? How can you use the Distributive Property to multiply? How can you use multiplication to solve problems?
\nAnswer:
\nMultiplication using\u00a0 the “Area model”:
\nWe know that,
\nAn “Area” is the amount of flat space occupied by a figure, You can find the area of a figure by filling it with unit squares and then counting how many squares entirely fill the shape
\nThe total area of the figure is the multiplication of the number of rows and columns
\nMultiplication using the Distributive Property:
\nLet the three numbers be a, b, c
\nNow,
\nAccording to the Distributive Property of Multiplication,
\na \u00d7 (b + c) = (a \u00d7 b) + (a \u00d7 c)
\n(a + b) \u00d7 c = (a \u00d7 c ) + (b \u00d7 c)
\nEx:
\nWe have to find the product of 12 \u00d7 4
\nNow,
\nThe steps to find the product of the given expression using the Distributive Property of Multiplication are:
\nStep 1:
\nSimplify the terms
\nSo,
\n12 \u00d7 4 = (10 + 2) \u00d7 4
\nStep 2:
\nUse the Distributive Property of Multiplication on the simplified expression that we obtained in Step 1
\nSo,
\n(10 + 2) \u00d7 4 = (10 \u00d7 4) + (2 \u00d7 4)
\n= 40 + 8
\nStep 3:
\nAdd the values that we obtained in the last step of Step 2
\nSo,
\n40 + 8 = 48
\nHence,
\nThe value of the given expression is: 48<\/p>\n

\"Envision<\/p>\n

enVision STEM Project: Renewable Energy and Multiplication<\/strong>
\nDo Research<\/strong>
\nUse the Internet or other sources to find information about different sources of renewable energy?
\nAnswer:
\nThe major types of renewable energy sources are:
\nA. Biomass:
\nObtained from wood and wood waste, municipal solid waste etc
\nB. Hydropower energy:
\nObtained from water
\nC. Geothermal energy:
\nObtained from land
\nD. Wind energy:
\nObtained from wind turbines
\nE. Solar energy:
\nObtained from the sun<\/p>\n

Journal: Write a Report that Includes what you found. Also in your report:
\n<\/strong>A)
\nA wind farm is an area of land with a large number of turbines. Draw an array with 15 rows to show the turbines in a wind farm. How many turbines are in your wind farm?
\nAnswer:
\nIt is given that
\nA wind farm is an area of land with a large number of turbines
\nNow,
\nThe representation of an array with 15 rows to show the turbines in a wind farm is:
\n\"\"
\nHence, from the above figure,
\nWe can conclude that there are 15 turbines in your wind farm<\/p>\n

B)
\nSome turbines produce 63 megawatt-hours of energy every week. Find how much energy one of these turbines would produce in one year. Remember, one year is 52 weeks?
\nAnswer:
\nIt is given that
\nSome turbines produce 63 megawatt-hours of energy every week.
\nSo,
\nThe amount of energy these turbines produce in 1 year = (The amount of energy produced by one of these turbines in a week) \u00d7 (The number of weeks in a year)
\n= 63 \u00d7 52
\n= 63 \u00d7 (50 + 2) [By using the Distributive Property of Multiplication]
\n= (63 \u00d7 50) + (63 \u00d7 2)
\n= 3,150 + 126
\n= 3,276 megawatt-hours
\nHence, from the above,
\nWe can conclude that the amount of energy produced by one of these turbines in one year is: 3,276 megawatt-hours<\/p>\n

Review What You Know<\/strong><\/p>\n

Vocabulary<\/strong>
\nChoose the best term from the box. Write it on the blank.<\/p>\n